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Finding the Fourth Proportional to 1,821.89, 2,733.56 and 727.02

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Solution

The fourth proportional to 1,821.89, 2,733.56 and 727.02 is: 1,090.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.89 : 2,733.56 = 727.02 : x
  2. Step 2: Convert to fraction form
    1,821.89/2,733.56 = 727.02/x
  3. Step 3: Cross multiply
    1,821.89x = 2,733.56 × 727.02
  4. Step 4: Simplify right side
    1,821.89x = 1,987,351.88
  5. Step 5: Solve for x
    x = 1,987,351.88/1,821.89
  6. Step 6: Final answer
    x = 1,090.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.